On insertion of a continuous function

Powderly, M.

doi:10.1090/S0002-9939-1981-0589151-7

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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On insertion of a continuous function
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Proc. Amer. Math. Soc. 81 (1981), 119-120 Request permission

Abstract:

Recently E. P. Lane proved that if space $X$ has the weak ${\mathbf {C}}$-insertion property and satisfies another condition, then $X$ has the strong ${\mathbf {C}}$-insertion property. This paper establishes the converse of this result.

References

Ernest P. Lane, Insertion of a continuous function, Pacific J. Math. 66 (1976), no. 1, 181–190. MR 474186
Jörg Blatter and G. L. Seever, Interposition and lattice cones of functions, Trans. Amer. Math. Soc. 222 (1976), 65–96. MR 438094, DOI 10.1090/S0002-9947-1976-0438094-0